464161320 has 320 divisors, whose sum is σ = 1815048000. Its totient is φ = 105501312.

The previous prime is 464161309. The next prime is 464161351. The reversal of 464161320 is 23161464.

464161320 is a `hidden beast` number, since 4 + 6 + 41 + 613 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2592991 + ... + 2593169.

It is an arithmetic number, because the mean of its divisors is an integer number (5672025).

Almost surely, 2^464161320 is an apocalyptic number.

464161320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464161320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (907524000).

464161320 is an abundant number, since it is smaller than the sum of its proper divisors (1350886680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

464161320 is a wasteful number, since it uses less digits than its factorization.

464161320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 464161320 is about 21544.4034496200. The cubic root of 464161320 is about 774.2650375315.

The spelling of 464161320 in words is "four hundred sixty-four million, one hundred sixty-one thousand, three hundred twenty".